The perimeter of a right triangle is 24cm . If its hypotenuse is 10 cm. Find the other 2 sides and Find it's area using heron's formula.
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Step-by-step explanation:
other two sides can be written as x, 14-x
by Pythagoras theorem
x²+(14-x)²=10²=100
2x²+196-28x=100
2x²-28x+96=0
x²-14x+48=0
(x-6)(x-8)=0
x=8,6
hence the other two sides are 6cm, 8cm.
now hope u can find area using herons formula.
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